Claire visits the aquarium while on vacation aquarium is 2 1/2 miles away from the hotel she walks 1/4 mile to the bus that takes the bus for 1 3/4 miles and walks the rest of the way to the aquarium.How far did Clara walk after getting off the bus. ASAP

Answer:

\( (f - g)x = -4x - 25 \)

Step-by-step explanation:

Given:

\( f(x) = -7x - 12 \)

\( g(x) = 13 - 3x \)

Required:

\( (f - g)x \)

SOLUTION:

\( (f - g)x = f(x) - g(x) \)

\( f(x) - g(x) = (-7x - 12) - (13 - 3x) \)

\( = -7x - 12 - 13 + 3x \)

Collect like terms

\( = -7x + 3x - 12 - 13 \)

\( (f - g)x = -4x - 25 \)

Answer:

0.1105263157894737

Other:

Brainliest? Thanks!

Answer:

a)The average salary, then, for accountants in Canada is $2352

b) The standard deviation of the salary, then, for accountants in Portugal is $388.2

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.

z = (x-μ)/σ

z = 0.50, x =$2,646.00 μ = ?? σ = $588

Hence,

0.50 = 2,646 - μ/588

0.50 × 588 = 2,646 - μ

294 = 2,646 - μ

μ = 2,646 - 294

μ = $2352

Therefore, the average salary, then, for accountants in Canada is $2352

b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .

z = (x-μ)/σ

z = 2, x = $2,329.40 μ =$1,553 σ = ?

2 = ($2,329.40 - $1,553)/σ

2σ = $2,329.40 - $1,553

σ = $2,329.40 - $1,553/2

σ = $776.4 /2

σ = $388.2

Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

Step-by-step explanation:

THE DETERMINANT IS:

c=ad-bc, where we have the matrix  a  b

                                                             c   d

C=16-(-20)=16+20=36

c for 28  c=(-1/2 *8)-(-4)=-4+4=8

The organizers need to prepare 200 notepads for the event.

a. If they bought 7 packages of 24 and 1 package of 6. The total notepad will be :

Which is NOT enough with the required number of notepads.

b. If they bought 5 packages of 24 and 15 packages of 6. The total notepad will be :

Which is enough with the required number of notepads.

c. Let x = number of packages of 24 and y = number of packages of 6.

The sum must be atleast 200 which is the requirement for the event

The inequality will be :

d. Using desmos, the graph will be :

The other solutions will be in the region and the other possible combinations are :

(5, 20) and (10, 10)

5 packages of 24 and 20 packages of 6

10 packages of 24 and 10 packages of 6

The radian measure of an angle is directly proportional to the length of the arc intercepted by that angle on the unit circle.

Proportional is a mathematical concept that describes the relationship between two or more values that have a constant ratio. It is commonly used to describe the relationship between two or more variables, such as the size of an object in relation to another or the amount of a certain item in relation to the total amount. In proportionality, the ratio of the amounts remains consistent, no matter what the size of the values.

This means that as the angle increases, so does the length of the arc. This is because the length of an arc is determined by the angle measure of the central angle created by the arc, and the radian measure of an angle is the ratio of the arc length to the radius of the circle. Therefore, if the angle measure increases, so does the arc length.

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Answer:

the answer is the third one

Step-by-step explanation:

c

Answer:

181

Step-by-step explanation:

im just guessing so it's probably not right

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

X is 160 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Answer:

X=160° because straight line =180

180°-20

160°

Answer:

$6.66 and $7.04

Step-by-step explanation:

I got it right

The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

From the central limit theorem:

σ(x) = σ/√n

The standard deviation σ = $1.25

The sample n = 180

σ(x) = 1.25/√180

σ(x) = 1.25/√1801

σ(x) = 0.0931

The lower limit = 6.85 - 0.0931 = 6.756 = 6.76

The upper limit = 6.85 - 0.0931 = 6.943 = 6.94

Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

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The minimum side length of the triangle needed to complete the triangle is 5 feet.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two sides of the triangle are 7 feet and 3 feet.

Let a = 7 and b = 3.

The minimum possible value,

= Max(a, b) - Min(a, b) + 1

= 7 - 3 + 1

= 5 feet.

Therefore, the minimum length is 5 feet.

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Answer:

g because if you half it is 12 1/2 then agin it is 6 3/4

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

\(\frac{1}{2} x+5\)

Step-by-step explanation:

h(x)=2x-10

    y =2(x-5)

   interchanging the value of x and y,

x=2(y-5)

\(\frac{x}{2} =y-5\)

\(\frac{1}{2} x+5\)=y

so,h(x)=\(\frac{1}{2}x+5\)

Answer:

Step-by-step explanation:

Given function

Its inverse is

Correct option is D.

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) \(n-\frac{8}{9} = \frac{4}{9}\)

\(n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}\)

(8)

\(\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5\)

(9)

\(\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}\)

(10)

\(-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20\)

Answer: The sample size of 11.28918512 leads to a 95% confidence interval of 93 to 107 which is plus or minus 7 from the mean of 100. Yes, it is reasonable.

Step-by-step explanation:

mean is 100.

standard deviation is 12.

you want the sample mean to be within plus or minus 7 points at 95% confidence level.

first you want to know what the critical z-score is.

at 95% confidence level, 2.5% of the area under the normal distribution curve is outside the confidence interval on the low side and 2.5% of the normal distribution curve is outside the confidence interval on the high side.

look for a z-score that has .025 proportion of the area under the normal distribution curve to the left of it.

that z-score will be minus 1.959963986.

since the normal distribution curve is symmetric about the mean, then the z-score that has .025 proportion of the area under the normal distribution curve to the right of it would be plus 1.959963986.

your confidence interval is between the critical z-scores of plus or minus 1.959963986.

that z-score value was found using the TI-83/84.

you would select 2d vars (this gets you distr) and then select 3.

that give you the inverse norm function.

you then enter .025) and the calculator tells you that the z-score is minus 1.959963986.

you can use the concept of symmetry to determine that the area of .025 to the right of the z-score leads to plus 1.959963986, or you can do the following:

1 - .025 = .975

find the inverse norm for .975.

you select 2d vars and then select 3 and then enter .975).

the calculator tells you that the z-score is plus 1.959963986.

the inverse norm function in the TI-83/84 is designed to give you the z-score that has the area to the left of it.

if you want the area to the right of the z-score, you take 1 minus the area to the left.

for .975 area to the left, 1 - .975 = .025 area to the right.

now that you know the critical z-score, you can find the critical raw score and/or the sample size required so that the interval is plus or minus 7 points at 95% confidence level.

the z-score formula is:

z = (x-m)/s

z is the z-score

x is the raw score

m is the raw mean

s is the standard deviation or standard error.

in this case, when you are dealing with the mean of a sample of a specified size, standard error is used.

the formula for standard error is:

s = standard deviation / square root of sample size.

in your problem, the population mean is 100 and standard deviation is 12.

the formula for standard error becomes:

s = 12 / sqrt(n), where n is the sample size.

you want your x to be within plus or minus 7 of the mean.

your mean is 100.

that means you want your x to be between 93 and 107.

when x is 93, the z-score formula becomes:

-1.959963986 = (93-100) / (12/sqrt(n)).

multiply both sides of this equation by 12/sqrt(n)) to get:

-1.959963986 * 12/sqrt(n) = 93 - 100.

this results in -1.959963986 * 12/sqrt(n) = -7

divide both sides of this equation by -7 and multiply both sides of this equation by sqrt(n) to get:

-1.959963986 / -7 * 12 = sqrt(n)

square both sides of this equation to get:

(-1.959963986 / -7 * 12) ^ 2 = n

solve for n to get:

n = 11.28918512

when n = 11.28918512, your standard error becomes 12 / sqrt(11.28918512) = 3.571494196.

your z-score formula used a standard error of 3.571494196.

to confirm this will give you an interval of 93 to 107, you do the following.

use z = (x - m) / s

when z = -1.959963986 and m = 100 and s = 3.571494196, this formula becomes:

-1.959963986 = (x - 100) / 3.571494196.

solve for x to get:

x = -1.959963986 * 3.571494196 + 100 = 93.

on the high side, .....

x = 1.959963986 * 3.571494196 + 100 = 107.

the sample size of 11.28918512 leads to a 95% confidence interval of 93 to 107 which is plus or minus 7 from the mean of 100.

since simple size has to be integer, you would normally round up to the next highest integer which would be +/-10 or 12.

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

(x+2)^2+(y-3)^2=100

Step-by-step explanation:

so the equation is (x-h)^2+(y-k)^2=r^2

(h,k)=center

r^2=radius

in this case (h,k)=(-2,3)

r^2=r^2

10^2=100

(x-(-2))^2+(y-3)^2=100

Hope fully that helps :)

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

can i have brainliest

Answer:

if ur solving for x the answer is x=-1

Step-by-step explanation:

-15 - 4x = -11

=> -4x = -11 + 15

=> -4x = 4

\( = > x = \frac{4}{ - 4} \)

=> x = -1 (Ans)

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Answer:

the graph represents the average heights of the girls in mrs.hills class.

Step-by-step explanation:

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

Answer:

12..........'.............

Answer:

Yeah the Answer is 12

Step-by-step explanation: